OBSTACLE PROBLEMS FOR SCALAR GINZBURG-LANDAU EQUATIONS

Mali, Suning · Acta Scientiarum Naturalium Universitatis Sunyatseni · 2004

In this note, we establish some estimates of solutions of the scalar Ginzburg-Landau equation and other nonlinear Laplacian equation △u =f(x, u). This will give an estimate of the Hausdorff dimension for the free boundary of the obstacle problem.

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